Finite Mathematics and Calculus with Applications, Edition 7
Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

 Chapter R. Algebra Reference  1. Polynomials  2. Factoring  3. Rational Expressions  4. Equations  5. Inequalities  6. Exponents  7. Radicals
 Chapter 1. Linear Functions  1. Slopes and Equations of Lines  2. Linear Functions and Applications  3. The Least Squares Line
 Chapter 2. Systems of Linear Equations and Matrices  1. Solution of Linear Systems by the Echelon Method  2. Solution of Linear Systems by the Gauss-Jordan Method  3. Addition and Subtraction of Matrices  4. Multiplication of Matrices  5. Matrix Inverses  6. Input-Output Models
 Chapter 3. Linear Programming: The Graphical Method  1. Graphing Linear Inequalities  2. Solving Linear Programming Problems Graphically  3. Applications of Linear Programming
 Chapter 4. Linear Programming: The Simplex Method  1. Slack Variables and the Pivot  2. Maximization Problems  3. Minimization Problems; Duality  4. Nonstandard Problems
 Chapter 5. Mathematics of Finance  1. Simple and Compound Interest  2. Future Value of an Annuity  3. Present Value of an Annuity; Amortization
 Chapter 6. Logic 1. Statements 2. Truth Tables and Equivalent Statements 3. The Conditional and Circuits 4. More on the Conditional 5. Analyzing Arguments and Proofs 6. Analyzing Arguments with Quantifiers
 Chapter 7. Sets and Probability  1. Sets  2. Applications of Venn Diagrams  3. Introduction to Probability  4. Basic Concepts of Probability  5. Conditional Probability; Independent Events  6. Bayes' Theorem
 Chapter 8. Counting Principles; Further Probability Topics  1. The Multiplication Principle; Permutations  2. Combinations  3. Probability Applications of Counting Principles  4. Binomial Probability  5. Probability Distributions; Expected Value
 Chapter 9. Statistics  1. Frequency Distributions; Measures of Central Tendency  2. Measures of Variation  3. The Normal Distribution  4. Normal Approximation to the Binomial Distribution
 Chapter 10. Nonlinear Functions 1. Properties of Functions 2. Quadratic Functions; Translation and Reflection 3. Polynomial and Rational Functions 4. Exponential Functions 5. Logarithmic Functions 6. Applications: Growth and Decay; Mathematics of Finance
 Chapter 11. The Derivative 1. Limits 2. Continuity 3. Rates of Change 4. Definition of the Derivative 5. Graphical Differentiation
 Chapter 12. Calculating the Derivative 1. Techniques for Finding Derivatives 2. Derivatives of Products and Quotients 3. The Chain Rule 4. Derivatives of Exponential Functions 5. Derivatives of Logarithmic Functions
 Chapter 13. Graphs and the Derivative 1. Increasing and Decreasing Functions 2. Relative Extrema 3. Higher Derivatives, Concavity, and the Second Derivative Test 4. Curve Sketching
 Chapter 14. Applications of the Derivative 1. Absolute Extrema 2. Applications of Extrema 3. Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand 4. Implicit Differentiation 5. Related Rates 6. Differentials: Linear Approximation
 Chapter 15. Integration 1. Antiderivatives 2. Substitution 3. Area and the Definite Integral 4. The Fundamental Theorem of Calculus 5. The Area Between Two Curves 6. Numerical Integration
 Chapter 16. Further Techniques and Applications of Integration 1. Integration by Parts 2. Volume and Average Value 3. Continuous Money Flow 4. Improper Integrals 5. Solutions of Elementary and Separable Differential Equations
 Chapter 17. Multivariable Calculus 1. Functions of Several Variables 2. Partial Derivatives 3. Maxima and Minima 4. Lagrange Multipliers 5. Total Differentials and Approximations 6. Double Integrals
 Chapter 18. Probability and Calculus 0. Continuous Probability Models 0. Expected Value and Variance of Continuous Random Variables 0. Special Probability Density Functions
 Chapter M. Miscellaneous  1. Markov Chains: Transition matrix  2. Markov Chains: Initial probability matrix  3. Markov Chains: Stable distribution for a transition matrix  4. Markov Chains: Examples Courtesy of Lavon Page at NCSU
 Chapter R. Reviews 0. Review for Final Exam